Solve Using a System of Three Linear Equations

question 17

Multiple Choice

Solve using a system of three linear equations.
-A deli sells three sizes of roast beef sandwiches: the small roast beef sandwich contains 4 ounces of meat and sells for $3.00; the regular roast beef sandwich contains 7 ounces of meat and sells for $3.50; and the large
Roast beef sandwich contains 9 ounces of meat and sells for $4.00. A customer requests a selection of each size
For a reception. She and the manager agree on a combination of 54 sandwiches made from 20 pounds 2 ounces
Of roast beef for a total cost of $181. How many of each size sandwich will be in this combination? (Note: 1
Pound = 16 ounces)

• A)20 small sandwiches, 18 medium sandwiches, 16 large sandwiches.
• B)22 small sandwiches, 28 medium sandwiches, 4 large sandwiches.
• C)24 small sandwiches, 22 medium sandwiches, 8 large sandwiches.
• D)26 small sandwiches, 16 medium sandwiches, 12 large sandwiches.